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Finding the Third Proportional to 938,024 and 1,454,352

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Solution

The third proportional to 938,024 and 1,454,352 is: 2,254,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,024 : 1,454,352 = 1,454,352 : x
  2. Step 2: Convert to fraction form
    938,024/1,454,352 = 1,454,352/x
  3. Step 3: Cross multiply
    938,024x = 1,454,352 × 1,454,352
  4. Step 4: Simplify right side
    938,024x = 2,115,139,739,904
  5. Step 5: Solve for x
    x = 2,115,139,739,904/938,024
  6. Step 6: Final answer
    x = 2,254,888.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.